Forces of fully nonlinear interfacial periodic waves on a cylindrical pile in a two-layer fluid with free-surface boundary conditions  

作　　者：Jiyang Li Zeng Liu Jie Cui 

机构地区：[1]School of Naval Architecture and Ocean Engineering,Jiangsu University of Science and Technology,Zhenjiang,Jiangsu 212000,PR China [2]School of Naval Architecture and Ocean Engineering,Huazhong University of Science and Technology,Wuhan 430074,PR China [3]Hubei Key Laboratory of Naval Architecture and Ocean Engineering Hydrodynamics(HUST),Wuhan 430074,China [4]Hubei Provincial Engineering Research Center of Data Techniques and Supporting Software for Ships,Wuhan 430074,PR China

出　　处：《Journal of Ocean Engineering and Science》2023年第6期662-674,共13页海洋工程与科学（英文）

基　　金：the National Natural Science Foundation of China(Approval nos.12202166,12072126);State Key Laboratory of Ocean Engineering(Shanghai Jiao Tong Univer-sity)(Grant no.GKZD010087)in the study design,analysis and interpretation of data,writing of the report,and decision to sub-mit the article for publication;the Natural Science Foundation of Jiangsu Province,China(ap-proval nos.BK20201006,BK20220652)in the collection of data.

摘　　要：In the frame of fully nonlinear potential flow theory,series solutions of interfacial periodic gravity waves in a two-layer fluid with free surface are obtained by the homotopy analysis method(HAM),and the related wave forces on a vertical cylinder are analyzed.The solution procedure of the HAM for the interfacial wave model with rigid upper surface is further developed to consider the free surface boundary.And forces of nonlinear interfacial periodic waves are estimated by both the classical and modified Mori-son equations.It is found that the estimated wave forces by the classical Morison equation are more conservative than those by the modified Morison’s formula,and the relative error between the total inertial forces calculated by these two kinds of Morison’s formulae remains over 25%for most cases unless the upper and lower layer depths are both large enough.It demonstrates that the convective acceleration neglected in the classical Morison equation is rather important for inertial force exerted by not only internal solitary waves but also interfacial periodic waves.All of these should further deepen our understanding of internal periodic wave forces on a vertical marine riser.

关 键 词：Interfacial periodic waves Wave force Cylindrical pile Homotopy analysis method Morison equation 

分 类 号：P731.22[天文地球—海洋科学]